Universal decay of classical Loschmidt echo of neutrally stable but mixing dynamics

Giulio Casati; Tomaz Prosen; Jinghua Lan; Baowen Li

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Universal decay of classical Loschmidt echo of neutrally stable but mixing dynamics

Giulio Casati·Tomaz Prosen·Jinghua Lan·Baowen Li

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Abstract

We provide analytical and numerical evidence that classical mixing systems which lack exponential sensitivity on initial conditions, exhibit universal decay of Loschmidt echo which turns out to be a function of a single scaled time variable delta^(2/5)t, where delta is the strength of perturbation. The role of dynamical instability and entropy production is discussed.

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Giulio Casati, Tomaz Prosen, Jinghua Lan, Baowen Li. 2004-09-08. Universal decay of classical Loschmidt echo of neutrally stable but mixing dynamics. https://arxiv.org/abs/nlin/0409018

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